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Finding the Fourth Proportional to 724.20, 998.98 and 413.64

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Solution

The fourth proportional to 724.20, 998.98 and 413.64 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.20 : 998.98 = 413.64 : x
  2. Step 2: Convert to fraction form
    724.20/998.98 = 413.64/x
  3. Step 3: Cross multiply
    724.20x = 998.98 × 413.64
  4. Step 4: Simplify right side
    724.20x = 413,218.09
  5. Step 5: Solve for x
    x = 413,218.09/724.20
  6. Step 6: Final answer
    x = 570.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.